Question

A student found the solution below for the given inequality.

Answer 1

Answer:

D: The student is completely incorrect because there is no solution to this inequality.

Step-by-step explanation:

Answer 2

Correct option is A) The student is completely correct because the student correctly wrote and solved the compound inequality.

Step-by-step explanation:

Here we have , A student found the solution below for the given inequality.

1x-91<-4

x-9>4 and x-9 <-4

x> 13 and x<5

We need to find Which of the following explains whether the student is correct . Let's find :

We will be solving equation 1x-91<-4  or , $|x-9|$ . We know that for Modulus function , value inside modulus function is both positive & negative depending on particular value of x ! So ,

x-9 is positive :

Let's solve

⇒  $x-9$

⇒  $x-9+9$

⇒  $x$

x-9 is negative:

Let's solve

⇒  $-(x-9)$

⇒  $-(x-9)(-1)$

⇒  $x-9>4$

⇒  $x>13$

Therefore , Correct option is A) The student is completely correct because the student correctly wrote and solved the compound inequality.